ACTIVITY 3 I LIKE TO PROVE IT! PROVE IT! A. Complete the table. The Isosceles Triangle Theorem states that if two sides of a triangle are congruent, then the angles opposite these sides are congruent. Given: TF = TV Prove: LF = LV Statements Reasons 1. TF = TV 1. 2. Construct a bisector of I 2. Every z has 1 angle bisector 3. LFIE = ZVIE 3. 4. 4. Reflexive Property 5. 5. SAS Congruence Postulate 6. LF = LV 6. QUARTER 2 WEEK 9 Page 6| 10 B. Number the sentences in an order to complete an indirect proof. Given: In A EFG, EF = FG Prove: mLE + 90° O Therefore the temporary assumption that mzE = 90° must be false. L But this contradicts the fact that the sum of the measures of the angles of a triangle is 180. O Assume temporarily that mLE = 90° L Then mzG = 90°, and mzE + m2F + m2G = 90 + mzF +90 > 180 It follows that mzE = 90°

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Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.